A new and simple proof of the equivalence theorem for behaviors

Jan W. Polderman

doi:10.1016/S0167-6911(00)00052-9

A new and simple proof of the equivalence theorem for behaviors

Jan W. Polderman

Research output: Contribution to journal › Article › Academic › peer-review

3 Citations (Scopus)

Abstract

Two full row rank representations of the same behavior are related through a left unimodular transformation. We present a new and extremely simple and insightful proof for this well-established fact.

Original language	Undefined
Pages (from-to)	223-224
Number of pages	2
Journal	Systems and control letters
Volume	41
Issue number	3
DOIs	https://doi.org/10.1016/S0167-6911(00)00052-9
Publication status	Published - 2000

Keywords

Unimodular matrix
Behavior
METIS-140524
IR-74297
Equivalence

Access to Document

10.1016/S0167-6911(00)00052-9

Cite this

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title = "A new and simple proof of the equivalence theorem for behaviors",

abstract = "Two full row rank representations of the same behavior are related through a left unimodular transformation. We present a new and extremely simple and insightful proof for this well-established fact.",

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AB - Two full row rank representations of the same behavior are related through a left unimodular transformation. We present a new and extremely simple and insightful proof for this well-established fact.

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KW - Behavior

KW - METIS-140524

KW - IR-74297

KW - Equivalence

U2 - 10.1016/S0167-6911(00)00052-9

DO - 10.1016/S0167-6911(00)00052-9

M3 - Article

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SP - 223

EP - 224

JO - Systems and control letters

JF - Systems and control letters

SN - 0167-6911

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